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10 papers · 2 filters
Horn's Problem, Vinnikov Curves and the Hive Cone
David E Speyer
A Vinnikov curve is a projective plane curve which can be written in the form det(xX+yY+zZ)=0 for X, Y and Z positive definite Hermitian n by n matrices. Given three n-tuples of po…
Logarithmic Derivatives of Solutions to Linear Differential Equations
Christopher J. Hillar
Given an ordinary differential field of characteristic zero, it is known that if and satisfy linear differential equations with coefficients in , then is al…
On the Castelnuovo-Mumford regularity of connected curves
Daniel Giaimo
In this paper we prove the Eisenbud-Goto conjecture for connected curves. We also investigate the structure of connected curves for which this bound is optimal. In particular, we c…
Four positive formulae for type A quiver polynomials
Allen Knutson, Ezra Miller, Mark Shimozono
We give four positive formulae for the (equioriented type A) quiver polynomials of Buch and Fulton. All four formulae are combinatorial, in the sense that they are expressed in ter…
Hyperpolygon spaces and their cores
Megumi Harada, Nicholas J. Proudfoot
Given an n-tuple of positive real numbers, Konno defines an algebraic variety called a hyperpolygon space, a hyperkahler analogue of the Kahler variety parametrizing spacial polygo…
Chiral de Rham Complex and Orbifolds
Edward Frenkel, Matthew Szczesny
Suppose that a finite group acts on a smooth complex variety . Then this action lifts to the Chiral de Rham Complex of and to its cohomology by automorphisms of the vert…